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Finding the Third Proportional to 37,004.25 and 81,390

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Solution

The third proportional to 37,004.25 and 81,390 is: 179,015.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,004.25 : 81,390 = 81,390 : x
  2. Step 2: Convert to fraction form
    37,004.25/81,390 = 81,390/x
  3. Step 3: Cross multiply
    37,004.25x = 81,390 × 81,390
  4. Step 4: Simplify right side
    37,004.25x = 6,624,332,100
  5. Step 5: Solve for x
    x = 6,624,332,100/37,004.25
  6. Step 6: Final answer
    x = 179,015.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.